Mathematical modeling of phenol degradation system using fuzzy comprehensive evaluation

Abstract

New mathematical model for phenol degradation is developed that uses fuzzy comprehensive evaluation. Biodegradation of phenol by Pseudomonas putida (NICM 2174), a potential biodegradent of phenol has been investigated for its degrading potential under different conditions. In the present work, results of batch study on P. putida (NICM 2174) and its degradation activity on phenolic compounds such as phenol, o-cresol, p-cresol, p-nitrophenol and resorcinol each of concentration 0.300 g/l are considered. In the present study, the effect of glucose, yeast extract, ammonium sulphate and NaCl each at 0.5, 1.5, 2.0, 3.0 and 4 g/l on degradation of aforementioned phenolic compounds have been investigated and a fuzzy control model has been developed to predict the extent of degradation. Main aspect of this study is to establish a fuzzy relation matrix R for objective evaluation of phenol degradation. A series of membership functions for the degradation are being evaluated after investigating the growth properties of bacteria at various levels of carbon and nitrogen sources. Important element is the factor vector A, which is deduced from a survey of panel of judges (n 25). A in conjunction with R generates a multifactorial equation which can be used to calculate the extent of phenol degradation. Biomass growth contributed signi®cantly to phenol degradation rates especially when the degradation medium was supplemented with a utilizable carbon and nitrogen sources.

Retracted: An ANP‐fuzzy evaluation model of food quality safety supervision based on China's data

“…On the one hand, the evaluation indicators of the government's food safety regulatory performance are complex, multi-attribute and interrelated, and ANP can be used to systematically evaluate such a relevant multi-indicator system (Pang & Bai, 2013). On the other hand, the evaluation of the government's food safety regulatory performance is difficult to be quantified with precise figures, and the fuzzy comprehensive evaluation model can be used to study this ambiguous situation (Annadurai, Babu, & Srinivasamoorthy, 2000). Consequently, from the perspective of multi-link supervision, based on the analysis of food safety regulations and existing literatures, this study constructs the food safety evaluation index system through the network process-fuzzy comprehensive evaluation model.…”

Hydrochemical Characteristics and Water Quality Assessment of Surface Water at Xiahe County in Tibetan Plateau Pastoral of China

“…Zadeh, an U.S.expert in control theory [43] , and the contributions of multiple related factors are comprehensively considered according to weight factors, and the fuzziness is decreased by using membership functions [44,45] which is suitable for making decisions in vague and imprecise system. FCE has been widely applied in many fields, such as environmental field [46,47] , agriculture field [43,48] , engineering field [49,50] , and other fields [45,[51][52][53] as well as to solve the fuzzy and difficult to quantify characteristics of the problem [54] . Water quality management is characterized by imprecision in objectives and water quality standards.…”

Multi-level fuzzy comprehensive evaluations for rapid manufacturing systems

“…1. It is very important to point out that ij U is not defined arbitrarily, but by the expertise, knowledge, experience, experimental results, etc., available about the system [6].…”

“…Fuzzy comprehensive evaluation (FCE) is an evaluation method to evaluate things by quantifying fuzzy information [4]. Developed by Chen et al [5], this method has been applied successfully in various different areas, including power quality [4], urban development [3], phenol degradation system [6], urban fire risk [7] etc. The FCE method is a more robust and flexible model for solving real-world complex systems involving human aspects than oversimplified evaluation methods.…”